CMSA Algebraic Geometry in String Theory: GLSM, Homological projective duality and nc resolutions


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September 30, 2022 9:30 am - 10:30 am
CMSA, 20 Garden St, G10
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Mauricio Romo - Tsinghua University

Kuznetsov's Homological projective duality (HPD) in algebraic geometry is a powerful theorem that allows to extract information about semiorthogonal decompositions of derived categories of certain varieties. I will give a GLSMs perspective based on categories of B-branes. I will focus mostly on the case of Fano (hypersurfaces) manifolds. In general, for such cases the HPD can be interpreted as a non-commutative (nc) resolution of a compact variety. I will give a physical interpretation of this fact and present some conjectures.

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